1. 2. 3. 1 | TV251 4. 5. 25²-4 dr -5 3* [cos (3*) - sin (3")] sin*(3*} 5v7,5v² Vr dr 3log(s) + secr tan r dr dr

Q: Graph the function. = (x) = -4 X for-4<x<-1 for -1 < x < 4 -x² +16 for x ≥ 4 16 11 V 15- 14. 13- 12…

A: Consider the function  Consider the function    z(x)=-4                     for  -4&lt;x&lt;-1x…

Q: Find the arc length function for the curve y= 2 x 3/2 with starting point P (1, 2). Select the…

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Q: a) Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel.

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: Matrix has only one row call Row Matrix. multiply a matrix (A) by another matrix (B) if the number…

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Q: Find the total area of the shaded regions enclosed by y = 3x³x² -x² - 9x and y = -x² + 3x. 8+ Q The…

A: Area bounded by two curve  f(x)  and  g(x)  from a to b Area =∫abf(x)-g(x) dx

Q: Let f:R-R,g: RR and h: R→→R be differentiable function such that f(x)=x²+3x²+4 g(x)=x and…

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Q: Suppose x-j, for j-0, 1, 2, 3 and it is known that Find Po123(1.5). P₁1(x)=x+1, P₁2(x)=3x-1, and…

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Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is y O X O None of…

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Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had…

A: Here is the solution:

Q: Solve the given diffential by variations of parameters 1. y" + y = cos x

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Q: Solve the given differential equation by separation of variables. exy dy =e-¯V + e-8x - y dx

A: In this question, we want to solve the given differetial equation using separation of Variables.

Q: Evaluate the following integral: f²f₂f²x+yz dxdydz 24

A: Due to some technical inconvenience I cannot type this answer in Math type I am providing you the…

Q: 10 نقاط * Find the Laplace Transform Q3\ to the following function L sin2t cos3t

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Q: If f(x, y) = 3x³ + y² - 9x + 4y, then the saddle point is (1, 2) O None of them O (1,-2) O (-1,-2) O…

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Q: Find all the values of x such that the given series would converge. 5" (x")(n+1) (n+8) 72=1 The…

A: solution is given below

Q: Question 2 [ Given the equation -5x² + 30x - 5y² - 10y - 5z² - 90z = 21 a) Show that the given…

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Q: Find an algebraic expression equal to sin (cos-¹ (5x-3)). (You may assume that − <cos-¹ (5x − 3) <…

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Q: Use the Modified Euler method to approximate the solutions to each of the following initial-value…

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Q: S HENN -dx x4-4

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Q: b) Determine, showing steps, whether the line [x, y, z] = []+¹] intersects the plane: 3 x + 7y + 8z…

A: We have to find the intersection of plane and line.

Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x-2) + 1+ X - 2 - 8 12(x - 2)²…

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Q: (g) y dx = (y - xy²) dy Oseparable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x…

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Q: H.W: Find the center of mass of a solid of constant density & bounded below by the disk R: x² + y²…

A: We need to find center of mass.

Q: L[-te-at * u(−t)]:

A: Solution given below

Q: If a xi = 0 and a x j = 0, then Select one: O a is equal to k O a is any vector perpendicular to ix…

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Q: Sketch the following surface: (2+4)² + (y-1)² = 1 a.) Draw the projection on a xy plane Show…

A: The eqaution is given  (z+4)2 +(y-1)2 = 1

Q: By using trapezoidal rule, n=2, The integral = π/2 sin (x) dx 0.9444 O 0.9481 O 0.94809 O 0.9482 O…

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Q: f(z) The residues of 4z (z − 1)(z + 2)² 4/9,-4/9 O 4/9.4/9 O -4/9, 4/9 O -4/9,-4/9 O 4/7,-4/7 O

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Q: y' = x - 4xy

A: We have to find solution of differential equation.

Q: Test the series below for convergence using the Root Test. Σ(13) 3n+ 5 The limit of the root test…

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Q: 1 The linear approximation of tan-6° is? approximation of 3√9 is? 2 The linear

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Q: 3. Let Compute each of the following IV. B-¹αoß a = B = 12 2 3 2 3 1 + 4 4 5 6) 6 3 54 2 3 1 2 4 4 5…

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Q: mx + + 1) (x+1)^ then value of m +n is (where n is a prime number) X-2 dx equals ex + C

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Q: 12. Use the Limit Comparison Test to determine whether k³ + 3k-1 2k5+5k2-6 converges.

A: The given series,    ∑k=1∞k3+3k-12k5+5k2-6

Q: (9) The differential equation M(x, y)dx + (2ye* + y²e³x) dy = = is exact if (a) M(x, y) = e2x y² +…

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Q: The equation (x − 1)² + (y − 4)² + (z − 3)² = 25, - is an equation of the sphere with center C(1,4,…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

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Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

A: Find the area shared by cardioid and the circle.graph the curve indicating these

Q: Sketch the figures and show step by step solutions. Find the area lying above the x-axis and under…

A: We have to find area for given curves.

Q: (h) x. yexy - x dx separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y…

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Q: cos² (x) + cos² (1) (x) cos³ IF .dx

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Q: Use the graph to determine whether each statement is tru lim f(x) exists. x → -3 -5 -4 -3 -2 -1 -1…

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Q: Evaluate the function for the given values of x. h(x)= Part 1 of 5 h(-3)= Part 2 of 5 -5x+7 for x…

A: The given function,   hx=-5x+7for x≤-23x+2for -2&lt;x&lt;34for x≥3

Q: FR Find the absolute maximum and absolute minimum of the function f(x) Enter an exact answer. If…

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Q: Find the slope of the tangent line to the parametric curve [x = 4 cos(t) y = 3 sin(t) at the point

A: A detailed solution is given below.

Q: Using Determination of Integrating Factors, solv y' = 2xy - x

A: Given differential equation y'=2xy -x

Q: (D) sec(a) die (E) sec(z) tan(z) da

A: You want only the sub part d and e to be solved.

Q: The measure of the angle between the three- dimensional vectors u = (0, -1, -3) and v = (2,3,-1) is…

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